Reference

This section lists all the GSL functions for which AMPL bindings are generated; the content is mainly extracted from the official GSL documentation.

• Elementary Functions
• Special Functions
  • Airy Functions and Derivatives
  • Bessel Functions
  • Clausen Function
  • Coulomb Functions
  • Coupling Coefficients
  • Dawson Function
  • Debye Functions
  • Dilogarithm
  • Elliptic Integrals
  • Error Functions
  • Exponential Integrals
  • Fermi-Dirac Function
  • Gamma and Beta Functions
  • Gegenbauer Functions
  • Hypergeometric Functions
  • Laguerre Functions
  • Lambert W Functions
  • Legendre Functions and Spherical Harmonics
  • Logarithm and Related Functions
  • Mathieu Functions
  • Power Function
  • Psi (Digamma) Function
  • Synchrotron Functions
  • Transport Functions
  • Zeta Functions
  • References and Further Reading
• Trigonometric Functions
• Random Number Generation
  • Random number generator algorithms
• Initialization
  • Example
• Random Number Distributions
  • Introduction
  • The Gaussian Distribution
  • The Gaussian Tail Distribution
  • The Exponential Distribution
  • The Laplace Distribution
  • The Exponential Power Distribution
  • The Cauchy Distribution
  • The Rayleigh Distribution
  • The Rayleigh Tail Distribution
  • The Landau Distribution
  • The Levy alpha-Stable Distribution
  • The Levy skew alpha-Stable Distribution
  • The Gamma Distribution
  • The Flat (Uniform) Distribution
  • The Lognormal Distribution
  • The Chi-squared Distribution
  • The F-distribution
  • The t-distribution
  • The Beta Distribution
  • The Logistic Distribution
  • The Pareto Distribution
  • The Weibull Distribution
  • The Type-1 Gumbel Distribution
  • The Type-2 Gumbel Distribution
  • The Poisson Distribution
  • The Bernoulli Distribution
  • The Binomial Distribution
  • The Negative Binomial Distribution
  • The Pascal Distribution
  • The Geometric Distribution
  • The Hypergeometric Distribution
  • The Logarithmic Distribution
  • References and Further Reading
• Statistics
  • Mean, Standard Deviation and Variance
  • Absolute deviation
  • Higher moments (skewness and kurtosis)
  • Autocorrelation
  • Covariance
  • Correlation
  • Maximum and Minimum values
  • Median and Percentiles
  • Order Statistics
  • Robust Location Estimates
  • Robust Scale Estimates
  • References and Further Reading
• Sorting Functions

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Elementary Functions